Flags

How many different flags can be made from colors red, yellow, blue, green, white so that each flag consisted of three different colors?

Correct result:

n =  60

Solution:

$n=5\cdot 4\cdot 3=60$

Try another example

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 3 comments:

Dr Math

nice site helped me very much

1 year ago  Like

Math student

This solution is for if the order of color matters. However, according to the question, order does not matter. It is therefore a combination, not a permutation. The solution should be (7x6x5)/3! = 35.

1 year ago  Like

Dan

I think solution in OK, because order matters...

1 year ago  Like

Next similar math problems:

• Lock
  A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
• Cars plates
  How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
• Pins 2
  how many different possible 4 digits pins can be found on the 10-digit keypad?
• Chess
  How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
• Olympics metals
  In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
• Football league
  In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
• Medals
  In how many ways can be divided gold, silver and bronze medal among 21 contestant?
• Metals
  In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
• Neighborhood
  I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?
• Coin and die
  Flip a coin and then roll a six-sided die. How many possible combinations are there?
• Password dalibor
  Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes this two changes. How many opportunities have a choice?
• 7 heroes
  9 heroes galloping on 9 horses behind. How many ways can sort them behind?
• PIN - codes
  How many five-digit PIN - code can we create using the even numbers?
• Election 4
  In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held).
• Peak
  Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?
• Tokens
  In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
• Variations
  Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.